Finding the Third Proportional to 137,547 and 210,404.25

Step by Step Solution

1. Step 1: Write the proportion equation
   137,547 : 210,404.25 = 210,404.25 : x
2. Step 2: Convert to fraction form
   137,547/210,404.25 = 210,404.25/x
3. Step 3: Cross multiply
   137,547x = 210,404.25 × 210,404.25
4. Step 4: Simplify right side
   137,547x = 44,269,948,418.06
5. Step 5: Solve for x
   x = 44,269,948,418.06/137,547
6. Step 6: Final answer
   x = 321,853.25